Question

If $f:\{-1,0,1,2,3\}\to R$ is a function defined as $f\left(x\right)=4x+3$ and $R\left(f\right)$ denotes the range of $f,$ then

• A. $R\left(f\right)=\left\{15\right\}$
• B. $R\left(f\right)\in [-1,15]$
• C. $R\left(f\right)=\{3,7,11,15\}$
• D. $R\left(f\right)=\{-1,3,7,11,15\}$

Answer 1

The correct option is D $R\left(f\right)=\{-1,3,7,11,15\}$

Given, $f:\{-1,0,1,2,3\}\to R$ and $f\left(x\right)=4x+3$
$f(-1)=-1$
$f\left(0\right)=3$
$f\left(1\right)=7$
$f\left(2\right)=11$
$f\left(3\right)=15$

$\therefore R\left(f\right)=\{-1,3,7,11,15\}$